Game theory and H∞-optimal control. The continuous-time case

Tamer Basar

doi:10.1007/bfb0040238

Game theory and H^∞-optimal control. The continuous-time case

Research output: Contribution to journal › Conference article › peer-review

Abstract

We discuss the versatility of differential game theory in the derivation of optimally disturbance attenuating controllers for linear (continuous-) time varying systems under various measurement schemes. These include the perfect state, delayed state, sampled state measurements, and a particular partial state information pattern. In each case we obtain a characterization of the optimal or suboptimal controller, and determine the corresponding minimax attenuation level.

Original language	English (US)
Pages (from-to)	171-186
Number of pages	16
Journal	Lecture Notes in Control and Information Sciences
Volume	156
DOIs	https://doi.org/10.1007/bfb0040238
State	Published - 1991
Event	Proceedings of the 4th International Symposium on Differential Games and Applications - Helsinki, Finl Duration: Aug 9 1990 → Aug 10 1990

ASJC Scopus subject areas

Library and Information Sciences

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10.1007/bfb0040238

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title = "Game theory and H∞-optimal control. The continuous-time case",

abstract = "We discuss the versatility of differential game theory in the derivation of optimally disturbance attenuating controllers for linear (continuous-) time varying systems under various measurement schemes. These include the perfect state, delayed state, sampled state measurements, and a particular partial state information pattern. In each case we obtain a characterization of the optimal or suboptimal controller, and determine the corresponding minimax attenuation level.",

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AB - We discuss the versatility of differential game theory in the derivation of optimally disturbance attenuating controllers for linear (continuous-) time varying systems under various measurement schemes. These include the perfect state, delayed state, sampled state measurements, and a particular partial state information pattern. In each case we obtain a characterization of the optimal or suboptimal controller, and determine the corresponding minimax attenuation level.

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